72616140 has 72 divisors (see below), whose sum is σ = 222593280. Its totient is φ = 19160064.

The previous prime is 72616139. The next prime is 72616177. The reversal of 72616140 is 4161627.

72616140 is a `hidden beast` number, since 7 + 2 + 616 + 1 + 40 = 666.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15381 + ... + 19539.

Almost surely, 2^72616140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72616140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111296640).

72616140 is an abundant number, since it is smaller than the sum of its proper divisors (149977140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72616140 is a wasteful number, since it uses less digits than its factorization.

72616140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72616140 is about 8521.5104294955. The cubic root of 72616140 is about 417.2000834062.

Adding to 72616140 its reverse (4161627), we get a palindrome (76777767).

The spelling of 72616140 in words is "seventy-two million, six hundred sixteen thousand, one hundred forty".